## Alberta Free Tutoring And Homework Help For Math 20-1

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### a.  Explain how to determine whether you should shade above or below a boundary line on the graph of an inequality. [1 mark] b. John is working to earn money to go on a ski trip. He wants to save at least $480. John works at the local swimming pool and makes$40 per hour lifeguarding and $20 per hour teaching swimming lessons. i. Determine an inequality that would represent this situation. [1 mark] ii. Draw a graph of the inequality to show the number of hours spent working at each task so that John can earn at least$480 for his ski trip.[2 marks]Click here for a pdf of a blank grid to print off.iii. Select a test point above the boundary, explain using the graph whether the test point is part of the solution. [1 mark]iv.  Select a test point below the boundary, verify algebraically whether the test point is part of the solution. [1 mark]

3 years ago Let x = number of hours for lifeguarding

Let y = number of hours for swimming lessons

Assumption: Both can not be done together

i.    $40x+20y\ge\text{480}$40x+20y480

ii. refer graph

iii. Lets Select a test point at x=4, If x=4, substituting the value in  $2x+y\ge12$2x+y12

$y\ge4$y4

at x=4 and  $y\ge4$y4

$>= 480$

#### Attached Graph:

3 years ago 